Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays

Xiangze Lin, Zhonglin Yang and Shihua Li

International Journal of Systems Science, 2019, vol. 50, issue 9, 1703-1717

Abstract: In this paper, finite-time boundedness of a class of neutral type switched systems with time-varying delays is investigated. By virtue of linear matrix inequalities, delay-depended sufficient conditions are given to guarantee switched systems with time-varying delays finite-time bounded. If there is no disturbance, finite-time boundedness degenerates into finite-time stability, which is also discussed in this note. Mode-depended average dwell time (MDADT) of switching signals is also given such that neutral type switched systems are finite-time bounded or finite-time stable. Moreover, finite-time weighted $L_2 $L2-gain of neutral type switched systems with time-varying delays is presented to measure its disturbance tolerance capability in the fixed time interval. Proofs in detail are accomplished by using multiple Lyapunov–Krasovskii functions. Finally, theoretical results are verified by using a numerical example.

Date: 2019
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DOI: 10.1080/00207721.2019.1622816

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